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Finding the Fourth Proportional to 5,674.90, 8,507.56 and 2,711.67

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Solution

The fourth proportional to 5,674.90, 8,507.56 and 2,711.67 is: 4,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.90 : 8,507.56 = 2,711.67 : x
  2. Step 2: Convert to fraction form
    5,674.90/8,507.56 = 2,711.67/x
  3. Step 3: Cross multiply
    5,674.90x = 8,507.56 × 2,711.67
  4. Step 4: Simplify right side
    5,674.90x = 23,069,695.23
  5. Step 5: Solve for x
    x = 23,069,695.23/5,674.90
  6. Step 6: Final answer
    x = 4,065.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.